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Semi-infinite cohomology of W-algebras

P. Bouwknegt, J. McCarthy, K. Pilch

hep-tharXiv:hep-th/9302086

Abstract

We generalize some of the standard homological techniques to -algebras, and compute the semi-infinite cohomology of the 3 algebra on a variety of modules. These computations provide physical states in 3 gravity coupled to 3 minimal models and to two free scalar fields.

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